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Finding the Third Proportional to 10,511,516 and 22,663,768

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Solution

The third proportional to 10,511,516 and 22,663,768 is: 48,865,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511,516 : 22,663,768 = 22,663,768 : x
  2. Step 2: Convert to fraction form
    10,511,516/22,663,768 = 22,663,768/x
  3. Step 3: Cross multiply
    10,511,516x = 22,663,768 × 22,663,768
  4. Step 4: Simplify right side
    10,511,516x = 513,646,379,957,824
  5. Step 5: Solve for x
    x = 513,646,379,957,824/10,511,516
  6. Step 6: Final answer
    x = 48,865,109.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.